Converting 3.09768 to a Fraction
Step-by-step explanation of how to convert 3.09768 to a fraction
Result
3.09768 =
38721
12500
Mixed number:
3
1221
12500
Step 1: Identify the number of decimal places
The decimal 3.09768 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
3.09768 × 100000 = 309768
Step 3: Write as a fraction
3.09768 =
309768
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 309768 and 100000.
GCD(309768, 100000) = 8
Divide both the numerator and denominator by the GCD:
309768
100000
=
309768 ÷ 8
100000 ÷ 8
=
38721
12500
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